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Finding the Fourth Proportional to 17,921.44, 24,732 and 9,963.68

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Solution

The fourth proportional to 17,921.44, 24,732 and 9,963.68 is: 13,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.44 : 24,732 = 9,963.68 : x
  2. Step 2: Convert to fraction form
    17,921.44/24,732 = 9,963.68/x
  3. Step 3: Cross multiply
    17,921.44x = 24,732 × 9,963.68
  4. Step 4: Simplify right side
    17,921.44x = 246,421,733.76
  5. Step 5: Solve for x
    x = 246,421,733.76/17,921.44
  6. Step 6: Final answer
    x = 13,750.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.